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Finding the Third Proportional to 81,564 and 114,859

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Solution

The third proportional to 81,564 and 114,859 is: 161,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,564 : 114,859 = 114,859 : x
  2. Step 2: Convert to fraction form
    81,564/114,859 = 114,859/x
  3. Step 3: Cross multiply
    81,564x = 114,859 × 114,859
  4. Step 4: Simplify right side
    81,564x = 13,192,589,881
  5. Step 5: Solve for x
    x = 13,192,589,881/81,564
  6. Step 6: Final answer
    x = 161,745.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.